Journal of Korean Society for Quality Management (품질경영학회지)

Korean Society for Quality Management (한국품질경영학회)
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Economic Design of Variable Sample Size ${\bar{X}}$ Control Chart Using a Surrogate Variable

대용변수를 이용한 가변형 부분군 크기 ${\bar{X}}$ 관리도의 경제적 설계

  • Lee, Tae Hoon (VHTR Development Division, Korea Atomic Energy Research Institute) ;
  • Lee, Min Koo (Department of Information and Statistics, Chungnam National University) ;
  • Kwon, Hyuck Moo (Division of Systems Management and Engineering, Pukyong National University) ;
  • Hong, Sung Hoon (Division of Systems Management and Engineering, Pukyong National University) ;
  • Lee, Jooho (Department of Information and Statistics, Chungnam National University)
  • 이태훈 (한국원자력연구원 고온가스로개발부) ;
  • 이민구 (충남대학교 정보통계학과) ;
  • 권혁무 (부경대학교 시스템경영공학부) ;
  • 홍성훈 (전북대학교 산업시스템공학과) ;
  • 이주호 (충남대학교 정보통계학과)
  • Received : 2017.11.17
  • Accepted : 2017.11.29
  • Published : 2017.12.31
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Abstract

Purpose: This paper proposes a VSS(Variable Sample Size) ${\bar{X}}$ control chart using surrogate variable and shows its effectiveness compared with FSS(Fixed Sample Size) ${\bar{X}}$ control chart using either performance variable or surrogate variable. Methods: The expected cost function of VSS ${\bar{X}}$ control chart is derived. The optimal designs are then found for numerical examples using a GA(genetic algorithm) and compared to those of the FSS ${\bar{X}}$ control charts. Results: Computational results show that VSS ${\bar{X}}$ control chart using surrogate variables is superior to FSS ${\bar{X}}$ control chart using either performance variable or surrogate variable from the economic view points. Conclusion: The proposed VSS ${\bar{X}}$ control chart will be useful in industry fields where a performance variable is not avaliable or too costly.

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References

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